Suppose that a random sample of size 36, Y1, Y2,

Suppose that a random sample of size 36, Y1, Y2, . . . , Y36, is drawn from a uniform pdf defined over the interval (0, θ), where θ is unknown. Set up a large sample sign test for deciding whether or not the 25th percentile of the Y-distribution is equal to 6. Let α = 0.05. With what probability will your procedure commit a Type II error if 7 is the true 25th percentile?

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